Mathematics 0580 · IGCSE · Vectors in two dimensions

Vectors in two dimensions — practice question

Here, $m = \begin{pmatrix}3 \\ 2\end{pmatrix}$ and $n = \begin{pmatrix}-2 \\ 3\end{pmatrix}$.

(a(i))[2]

Work out the value of $2m - 3n$.

(a(ii))[2]

Calculate the value of $|2m - 3n|$.

(b(i)(a))[1]

Find $\overrightarrow{AB}$ in its simplest form, expressed in terms of $a$ and $b$.

(b(i)(b))[1]

Find the vector $\overrightarrow{AM}$.

(b(i)(c))[2]

Find the position vector for $M$.

(b(ii))[1]

Find the value required for $k$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses the correct vector arrangement” …